Speed is dependent on distance covered and the amount of time used to cover that distance. The time taken by Althea to travel given distance is 4 hours.
How to find the speed of an object?
If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
For the given case, it is given that:
The speed at which Althea traveled = 70 miles / hour = S
The distance Althea traveled = 280 miles = D
Let the time she took to travel be T hours, then, by the formula for speed, we get:
[tex]S = \dfrac{D}{T}\\\\70 = \dfrac{280}{T}\\\\\text{Multiplying both sides by T/70}\\\\T = \dfrac{280}{70} = 4 \: \rm hours[/tex]
Thus, the time taken by Althea to travel given distance is 4 hours.
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